{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "stuck-split",
   "metadata": {},
   "source": [
    "# 习题 6.6\n",
    "\n",
    "![习题 6.6](https://tva1.sinaimg.cn/large/008i3skNly1grd8hp3zuaj30yx0u0dn0.jpg)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 40,
   "id": "successful-mechanics",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<table class=\"dataframe\">\n",
       "<caption>A data.frame: 11 × 11</caption>\n",
       "<thead>\n",
       "\t<tr><th></th><th scope=col>E</th><th scope=col>N</th><th scope=col>Da</th><th scope=col>Du</th><th scope=col>G</th><th scope=col>Fr</th><th scope=col>S</th><th scope=col>I</th><th scope=col>P</th><th scope=col>H</th><th scope=col>Fi</th></tr>\n",
       "\t<tr><th></th><th scope=col>&lt;int&gt;</th><th scope=col>&lt;int&gt;</th><th scope=col>&lt;int&gt;</th><th scope=col>&lt;int&gt;</th><th scope=col>&lt;int&gt;</th><th scope=col>&lt;int&gt;</th><th scope=col>&lt;int&gt;</th><th scope=col>&lt;int&gt;</th><th scope=col>&lt;int&gt;</th><th scope=col>&lt;int&gt;</th><th scope=col>&lt;int&gt;</th></tr>\n",
       "</thead>\n",
       "<tbody>\n",
       "\t<tr><th scope=row>E</th><td>0</td><td>0</td><td>0</td><td> 0</td><td>0</td><td> 0</td><td> 0</td><td> 0</td><td> 0</td><td>0</td><td>0</td></tr>\n",
       "\t<tr><th scope=row>N</th><td>2</td><td>0</td><td>0</td><td> 0</td><td>0</td><td> 0</td><td> 0</td><td> 0</td><td> 0</td><td>0</td><td>0</td></tr>\n",
       "\t<tr><th scope=row>Da</th><td>2</td><td>1</td><td>0</td><td> 0</td><td>0</td><td> 0</td><td> 0</td><td> 0</td><td> 0</td><td>0</td><td>0</td></tr>\n",
       "\t<tr><th scope=row>Du</th><td>7</td><td>5</td><td>6</td><td> 0</td><td>0</td><td> 0</td><td> 0</td><td> 0</td><td> 0</td><td>0</td><td>0</td></tr>\n",
       "\t<tr><th scope=row>G</th><td>6</td><td>4</td><td>5</td><td> 5</td><td>0</td><td> 0</td><td> 0</td><td> 0</td><td> 0</td><td>0</td><td>0</td></tr>\n",
       "\t<tr><th scope=row>Fr</th><td>6</td><td>6</td><td>6</td><td> 9</td><td>7</td><td> 0</td><td> 0</td><td> 0</td><td> 0</td><td>0</td><td>0</td></tr>\n",
       "\t<tr><th scope=row>S</th><td>6</td><td>6</td><td>5</td><td> 9</td><td>7</td><td> 2</td><td> 0</td><td> 0</td><td> 0</td><td>0</td><td>0</td></tr>\n",
       "\t<tr><th scope=row>I</th><td>6</td><td>6</td><td>5</td><td> 9</td><td>7</td><td> 1</td><td> 1</td><td> 0</td><td> 0</td><td>0</td><td>0</td></tr>\n",
       "\t<tr><th scope=row>P</th><td>7</td><td>7</td><td>6</td><td>10</td><td>8</td><td> 5</td><td> 3</td><td> 4</td><td> 0</td><td>0</td><td>0</td></tr>\n",
       "\t<tr><th scope=row>H</th><td>9</td><td>8</td><td>8</td><td> 8</td><td>9</td><td>10</td><td>10</td><td>10</td><td>10</td><td>0</td><td>0</td></tr>\n",
       "\t<tr><th scope=row>Fi</th><td>9</td><td>9</td><td>9</td><td> 9</td><td>9</td><td> 9</td><td> 9</td><td> 9</td><td> 9</td><td>8</td><td>0</td></tr>\n",
       "</tbody>\n",
       "</table>\n"
      ],
      "text/latex": [
       "A data.frame: 11 × 11\n",
       "\\begin{tabular}{r|lllllllllll}\n",
       "  & E & N & Da & Du & G & Fr & S & I & P & H & Fi\\\\\n",
       "  & <int> & <int> & <int> & <int> & <int> & <int> & <int> & <int> & <int> & <int> & <int>\\\\\n",
       "\\hline\n",
       "\tE & 0 & 0 & 0 &  0 & 0 &  0 &  0 &  0 &  0 & 0 & 0\\\\\n",
       "\tN & 2 & 0 & 0 &  0 & 0 &  0 &  0 &  0 &  0 & 0 & 0\\\\\n",
       "\tDa & 2 & 1 & 0 &  0 & 0 &  0 &  0 &  0 &  0 & 0 & 0\\\\\n",
       "\tDu & 7 & 5 & 6 &  0 & 0 &  0 &  0 &  0 &  0 & 0 & 0\\\\\n",
       "\tG & 6 & 4 & 5 &  5 & 0 &  0 &  0 &  0 &  0 & 0 & 0\\\\\n",
       "\tFr & 6 & 6 & 6 &  9 & 7 &  0 &  0 &  0 &  0 & 0 & 0\\\\\n",
       "\tS & 6 & 6 & 5 &  9 & 7 &  2 &  0 &  0 &  0 & 0 & 0\\\\\n",
       "\tI & 6 & 6 & 5 &  9 & 7 &  1 &  1 &  0 &  0 & 0 & 0\\\\\n",
       "\tP & 7 & 7 & 6 & 10 & 8 &  5 &  3 &  4 &  0 & 0 & 0\\\\\n",
       "\tH & 9 & 8 & 8 &  8 & 9 & 10 & 10 & 10 & 10 & 0 & 0\\\\\n",
       "\tFi & 9 & 9 & 9 &  9 & 9 &  9 &  9 &  9 &  9 & 8 & 0\\\\\n",
       "\\end{tabular}\n"
      ],
      "text/markdown": [
       "\n",
       "A data.frame: 11 × 11\n",
       "\n",
       "| <!--/--> | E &lt;int&gt; | N &lt;int&gt; | Da &lt;int&gt; | Du &lt;int&gt; | G &lt;int&gt; | Fr &lt;int&gt; | S &lt;int&gt; | I &lt;int&gt; | P &lt;int&gt; | H &lt;int&gt; | Fi &lt;int&gt; |\n",
       "|---|---|---|---|---|---|---|---|---|---|---|---|\n",
       "| E | 0 | 0 | 0 |  0 | 0 |  0 |  0 |  0 |  0 | 0 | 0 |\n",
       "| N | 2 | 0 | 0 |  0 | 0 |  0 |  0 |  0 |  0 | 0 | 0 |\n",
       "| Da | 2 | 1 | 0 |  0 | 0 |  0 |  0 |  0 |  0 | 0 | 0 |\n",
       "| Du | 7 | 5 | 6 |  0 | 0 |  0 |  0 |  0 |  0 | 0 | 0 |\n",
       "| G | 6 | 4 | 5 |  5 | 0 |  0 |  0 |  0 |  0 | 0 | 0 |\n",
       "| Fr | 6 | 6 | 6 |  9 | 7 |  0 |  0 |  0 |  0 | 0 | 0 |\n",
       "| S | 6 | 6 | 5 |  9 | 7 |  2 |  0 |  0 |  0 | 0 | 0 |\n",
       "| I | 6 | 6 | 5 |  9 | 7 |  1 |  1 |  0 |  0 | 0 | 0 |\n",
       "| P | 7 | 7 | 6 | 10 | 8 |  5 |  3 |  4 |  0 | 0 | 0 |\n",
       "| H | 9 | 8 | 8 |  8 | 9 | 10 | 10 | 10 | 10 | 0 | 0 |\n",
       "| Fi | 9 | 9 | 9 |  9 | 9 |  9 |  9 |  9 |  9 | 8 | 0 |\n",
       "\n"
      ],
      "text/plain": [
       "   E N Da Du G Fr S  I  P  H Fi\n",
       "E  0 0 0   0 0  0  0  0  0 0 0 \n",
       "N  2 0 0   0 0  0  0  0  0 0 0 \n",
       "Da 2 1 0   0 0  0  0  0  0 0 0 \n",
       "Du 7 5 6   0 0  0  0  0  0 0 0 \n",
       "G  6 4 5   5 0  0  0  0  0 0 0 \n",
       "Fr 6 6 6   9 7  0  0  0  0 0 0 \n",
       "S  6 6 5   9 7  2  0  0  0 0 0 \n",
       "I  6 6 5   9 7  1  1  0  0 0 0 \n",
       "P  7 7 6  10 8  5  3  4  0 0 0 \n",
       "H  9 8 8   8 9 10 10 10 10 0 0 \n",
       "Fi 9 9 9   9 9  9  9  9  9 8 0 "
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "data <- read.csv(\"ex_6_6.csv\", header=TRUE, row.names=1); data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 43,
   "id": "chicken-mongolia",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "    E  N Da Du  G Fr  S  I  P  H\n",
       "N   2                           \n",
       "Da  2  1                        \n",
       "Du  7  5  6                     \n",
       "G   6  4  5  5                  \n",
       "Fr  6  6  6  9  7               \n",
       "S   6  6  5  9  7  2            \n",
       "I   6  6  5  9  7  1  1         \n",
       "P   7  7  6 10  8  5  3  4      \n",
       "H   9  8  8  8  9 10 10 10 10   \n",
       "Fi  9  9  9  9  9  9  9  9  9  8"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "d <- as.dist(data); d    # dist: fviz_dend(res.hc, rect = TRUE)距离"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "realistic-inflation",
   "metadata": {},
   "source": [
    "## (1) 最短距离"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 52,
   "id": "grateful-lingerie",
   "metadata": {},
   "outputs": [],
   "source": [
    "h1 <- hclust(d, \"single\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 67,
   "id": "sublime-ceramic",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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AECBAgQIECAAAECBAgQIECAAAECBAgQmLXABXLAvZMLz/rAjkeAAAECBAgQIECA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\nMwAAAABJRU5ErkJggg==",
      "text/plain": [
       "Plot with title “Shortest Distance Cluster”"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 420,
       "width": 420
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot(h1, hang=-1, main=\"Shortest Distance Cluster\", xlab=\"Language\")    # hang=-1 表示线画到底"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "consolidated-hepatitis",
   "metadata": {},
   "source": [
    "## (2) 最长距离"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 68,
   "id": "favorite-gauge",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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gQIEBiNwC/nSut3il6ZXHeTq67fQbpRUl/Y8MPkBolGgAABAgQIECBAgACBSQlU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\nf0jFwPzAxgAAAABJRU5ErkJggg==",
      "text/plain": [
       "Plot with title “Longest Distance Cluster”"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 420,
       "width": 420
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "h2 <- hclust(d, \"complete\")\n",
    "plot(h2, hang=-1, main=\"Longest Distance Cluster\", xlab=\"Language\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "julian-lobby",
   "metadata": {},
   "source": [
    "## (3) 类平均距离"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 69,
   "id": "pregnant-emission",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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yvWG+Pm3DvLrzm+KQECBAgQIECAwBYKPCXnrkS2PiJYdx9unWiXI7NQ6yvqolch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\nQAEFRrHA/wPBBc68AWclhgAAAABJRU5ErkJggg==",
      "text/plain": [
       "Plot with title “Classes Average Distance Cluster”"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 420,
       "width": 420
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "h3 <- hclust(d, \"average\")\n",
    "plot(h3, hang=-1, main=\"Classes Average Distance Cluster\", xlab=\"Language\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "ruled-greenhouse",
   "metadata": {},
   "source": [
    "## (4) 重心距离"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 70,
   "id": "ranking-eugene",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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BAgQIDAyggokFZmqFwoAQIECBAgQIAAAQLzFlAgzVvY8QkQIECAAAECBAgQWBmB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\nQAMa6JOB/wfrfutFvp5HLQAAAABJRU5ErkJggg==",
      "text/plain": [
       "Plot with title “Centroid Distance Cluster”"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 420,
       "width": 420
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "h4 <- hclust(d, \"centroid\")\n",
    "plot(h4, hang=-1, main=\"Centroid Distance Cluster\", xlab=\"Language\")"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "R",
   "language": "R",
   "name": "ir"
  },
  "language_info": {
   "codemirror_mode": "r",
   "file_extension": ".r",
   "mimetype": "text/x-r-source",
   "name": "R",
   "pygments_lexer": "r",
   "version": "4.0.4"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
